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    STUDIA MATHEMATICA - Issue no. 4 / 2013  
         
  Article:   EXACT DISCRETE MORSE FUNCTIONS ON SURFACES [RETRACTED PAPER].

Authors:  .
 
       
         
  Abstract:   In this paper, we review some basic facts about discrete Morse theory, we introduce the Morse-Smale characteristic for a finite simplicial complex, and we construct Z2-exact discrete Morse functions on the torus with two holes T2 and on the dunce hat DH. Mathematics Subject Classification (2010): 57Q99, 57R70, 58E05. Keywords: Finite simplicial complex, discrete Morse function, exact discrete Morse function, discrete Morse-Smale characteristic, torus of genus 2, dunce hat.  
         
     
         
         
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